The general multi-dimensional Riemann problem for hyperbolic systems with real constant coefficients

Tatsien Li; Wancheng Sheng

doi:10.3934/dcds.2002.8.737

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2002, Volume 8, Issue 3: 737-744. Doi: 10.3934/dcds.2002.8.737

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The general multi-dimensional Riemann problem for hyperbolic systems with real constant coefficients

Tatsien Li^1, and
Wancheng Sheng^2,

1.
School of Mathematical Sciences, Fudan University, Han Dan Road 220, Shanghai 200433
2.
Department of Mathematics, Shanghai University, Shanghai, 200436

Received: December 31, 2000

Revised: November 30, 2001

Published: June 2002

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Abstract

In this paper, we give the explicit solution to the general multi-dimensional Riemann problem for the canonical form of $2\times 2$ hyperbolic systems with real constant coefficients.

Keywords:

General multi-dimensional Riemann problem,
hyperbolic system,
constant coefficients,
explicit solution.

Mathematics Subject Classification: 35L65, 76N10.

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